Double Lerch series and their functional relations

• Autores: Takashi Nakamura
• Localización: Aequationes mathematicae, ISSN 0001-9054, Vol. 75, Nº. 3, 2008, págs. 251-259
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • In this paper, we show an integral representation and a functional relation for double Lerch series. We also show a functional relation for double Dirichlet series. By this functional relation for double Lerch series, we obtain explicit formulas for special values of alternating analogues of Tornheim�s double series and double L-values.